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Finding the Fourth Proportional to 433,712.48, 650,406.92 and 149,322.69

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Solution

The fourth proportional to 433,712.48, 650,406.92 and 149,322.69 is: 223,928.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,712.48 : 650,406.92 = 149,322.69 : x
  2. Step 2: Convert to fraction form
    433,712.48/650,406.92 = 149,322.69/x
  3. Step 3: Cross multiply
    433,712.48x = 650,406.92 × 149,322.69
  4. Step 4: Simplify right side
    433,712.48x = 97,120,510,142.40
  5. Step 5: Solve for x
    x = 97,120,510,142.40/433,712.48
  6. Step 6: Final answer
    x = 223,928.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.